Analytical Solution of Non-Fourier Conduction Heat Transfer Equation with Variable Coefficient by the VIM

In this paper, a variational iteration method (VIM) has been applied to nonlinear non-Fourier conduction heat transfer equation with variable specific heat coefficient. The results of VIM as an analytical solution are then compared with those derived from the established numerical solution obtained by the fourth order Runge- Kutta method in order to verify the accuracy of the proposed method. The results reveal that the VIM is very effective and convenient in predicting the solution of such problems, and it is predicted that VIM can find a wide application in new engineering problems

کلیدواژه ها:

Variational iteration method (VIM) ، Non- Fourier conduction ، Variable specific heat coefficient ، Numerical solution